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📰 Solution: Expand $ (\tan x + \cot x)^2 = \tan^2 x + 2 \tan x \cot x + \cot^2 x $. Simplify using $ \tan x \cot x = 1 $: $ \tan^2 x + 2 + \cot^2 x $. Use identity $ \tan^2 x + \cot^2 x = (\tan x - \cot x)^2 + 2 $, so expression becomes $ (\tan x - \cot x)^2 + 4 $. The minimum occurs when $ \tan x = \cot x $, i.e., $ x = \frac{\pi}{4} + k\frac{\pi}{2} $, giving $ 0 + 4 = 4 $. \boxed{4} 📰 Question: Compute $ (\cos \theta + i \sin \theta)^5 $ using De Moivre’s theorem. 📰 Solution: By De Moivre’s theorem, $ (\cos \theta + i \sin \theta)^n = \cos(n\theta) + i \sin(n\theta) $. Applying $ n = 5 $, the result is $ \cos(5\theta) + i \sin(5\theta) $. \boxed{\cos(5\theta) + i \sin(5\theta)} 📰 Globalcard Bankofamerica Com Login 2141893 📰 Katawa Shoujo 5842370 📰 How Long Is The Psat 7795680 📰 Crazy Insanity The Craziest Behaviors Thatll Explode Your Imagination 2975492 📰 11025Un Qumico Necesita Preparar 500 Ml De Una Solucin De Nacl 01 M Si La Solucin Concentrada Es 2 M Cuntos Mililitros De La Solucin Concentrada Se Requieren 9386549 📰 Vowels O A I I 4 Vowels With I Repeated 610627 📰 Here Is The Requested List Of Clickbait Titles Solely In Raw Text 4989124 📰 Acip Covid Vaccine 2025 Top Experts Share The Most Important Recommendations Now 7728646 📰 All Her Fault Ending 7279878 📰 Determine The Nature Using The Second Derivative 3703075 📰 External Seo Expos Why Linked Externals Could Make Or Break Your Traffic 9478541 📰 The Mystery Of Basketball Bors How This Player Redefined The Court 8555843 📰 Max Payne On Steam 5173935 📰 You Wont Believe What Happened To Nun 2This Religious Phenomenon Sparks Global Debate 2291177 📰 Hurley 4300470